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Finding the Fourth Proportional to 102,578.60, 153,867.90 and 47,282.60

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Solution

The fourth proportional to 102,578.60, 153,867.90 and 47,282.60 is: 70,923.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,578.60 : 153,867.90 = 47,282.60 : x
  2. Step 2: Convert to fraction form
    102,578.60/153,867.90 = 47,282.60/x
  3. Step 3: Cross multiply
    102,578.60x = 153,867.90 × 47,282.60
  4. Step 4: Simplify right side
    102,578.60x = 7,275,274,368.54
  5. Step 5: Solve for x
    x = 7,275,274,368.54/102,578.60
  6. Step 6: Final answer
    x = 70,923.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.